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Prozorov_23

# Prozorov_23 - PHYSICS 222 Introduction to Classical Physics...

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PHYSICS 222 Introduction to Classical Physics II Prof. Ruslan Prozorov Iowa State University Fall 2011 LECTURE 23 Power and resonance in RLC circuit

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power in a resistor (review) 17 October 2011 PHYS222 - Lecture 23 - Prof. Ruslan Prozorov - Iowa State University 2 the instantaneous power is           2 2 v t p t v t i t Ri t R   2 2 2 0 0 2 2 2 2 2 2 0 1 cos 2 1 cos 2 2 , 2 2 T RMS RMS RMS RMS P p t dt I R t dt T V I R I R d RI R V I V I   Average power (over the cycle): energy dissipated in one cycle (over period T ) is:   0 1 2 , T U p t dt T f with harmonic variation,   cos i t I t
exercise: LRC circuit find R, L, C 3 2 6 R C C C L L L V RI V X I X Ohm V X I R Ohm X Ohm 4 10 / , 10 rad s I A 1 0 6 1 5 0. C L C L C mF X X L X X mH C L 17 October 2011 PHYS222 - Lecture 23 - Prof. Ruslan Prozorov - Iowa State University 3

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Power in an inductor 17 October 2011 PHYS222 - Lecture 23 - Prof. Ruslan Prozorov - Iowa State University 4
An RL circuit is driven by an AC generator as shown in the figure. The current through the resistor and the generator voltage are: A. always out of phase B. always in phase C. sometimes in phase and sometimes out of phase example: RL circuit I V R V L E And this is the current through all elements.

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